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Finding the Fourth Proportional to 9,296.34, 12,824.22 and 5,935.65

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Solution

The fourth proportional to 9,296.34, 12,824.22 and 5,935.65 is: 8,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.34 : 12,824.22 = 5,935.65 : x
  2. Step 2: Convert to fraction form
    9,296.34/12,824.22 = 5,935.65/x
  3. Step 3: Cross multiply
    9,296.34x = 12,824.22 × 5,935.65
  4. Step 4: Simplify right side
    9,296.34x = 76,120,081.44
  5. Step 5: Solve for x
    x = 76,120,081.44/9,296.34
  6. Step 6: Final answer
    x = 8,188.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.